i) Find the sampling distribution of the statistic W = X₁ + 2X2 - X3 + X₁ + Xs. ii) What is the value of the sample size n, if P[X(X-X)²> 68.3392] = 0.025? iii) What is the value of the sample size m, if P(|Ỹ-Hy| ≥10) <0.04?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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b) Let X₁, X₂,..., X and Y₁, Y2, ..., Ym be random samples from populations with moment generating
25
(1) respectively.
functions Mx, (t) = e³t+t² and My, (t) =
i) Find the sampling distribution of the statistic W = X₁ + 2X2 - X3 + X₁ + X5.
ii) What is the value of the sample size n, if P[₁(X₁-X)² > 68.3392] = 0.025?
iii) What is the value of the sample size m, if P(|YH| ≥ 10) <0.04?
Transcribed Image Text:b) Let X₁, X₂,..., X and Y₁, Y2, ..., Ym be random samples from populations with moment generating 25 (1) respectively. functions Mx, (t) = e³t+t² and My, (t) = i) Find the sampling distribution of the statistic W = X₁ + 2X2 - X3 + X₁ + X5. ii) What is the value of the sample size n, if P[₁(X₁-X)² > 68.3392] = 0.025? iii) What is the value of the sample size m, if P(|YH| ≥ 10) <0.04?
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